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Finding the Fourth Proportional to 22,284.24, 33,426.90 and 6,702

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Solution

The fourth proportional to 22,284.24, 33,426.90 and 6,702 is: 10,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.24 : 33,426.90 = 6,702 : x
  2. Step 2: Convert to fraction form
    22,284.24/33,426.90 = 6,702/x
  3. Step 3: Cross multiply
    22,284.24x = 33,426.90 × 6,702
  4. Step 4: Simplify right side
    22,284.24x = 224,027,083.80
  5. Step 5: Solve for x
    x = 224,027,083.80/22,284.24
  6. Step 6: Final answer
    x = 10,053.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.